Read this response and predict the preceding dialog. After passing through the medium, these two pulses will exhibit a time delay between their respective pulse-envelope centers, given by The expression can be approximated as a Taylor expansion, giving  or, From here it is possible to imagine scaling this expression up two pulses to infinitely many. The frequency difference formula_30 must be replaced by the bandwidth, and the time delay formula_31 evolves into the induced chirp.

Phone call: +What are the main sources of group velocity dispersion?; +However, if the bandwidth of the pulse is narrow relative to the curvature of formula_19, then good approximations of the impact of the refractive index can be obtained by replacing formula_6 with its Taylor expansion centered about formula_3:  Truncating this expression and inserting it into the post-medium frequency-domain expression results in a post-medium time-domain expression of On balance, the pulse will have lengthened to an intensity standard deviation value of thus validating the initial expression.; +Are there any other interesting aspects about this article?; +Note that for a transform-limited pulse σσ = 1/2, which makes it appropriate to identify 1/(2σ) as the bandwidth.; +What are the different applications of the GVD?; +An alternate derivation of the relationship between pulse chirp and GVD, which more immediately illustrates the reason why GVD can be defined by the derivative of inverse group velocity, can be outlined as follows.; +What is the outline of the GVD?; +Consider two transform-limited pulses of carrier frequencies formula_25 and formula_26, which are initially overlapping in time.; +What happens to the overlapping pulses?; +